Determine the degree of the polynomial:
–3.1ax^4+2.5ax+2ax^4+1.1ax^4–0.5ax–2ax

Answers

Answer 1

The degree of the polynomial is 4.

To determine the degree of a polynomial, we look for the highest power of the variable present in any of its terms. Let's break down the given polynomial and identify the terms:

[tex]\[ -3.1ax^4 + 2.5ax + 2ax^4 + 1.1ax^4 - 0.5ax - 2ax \][/tex]

Here, we have terms with different powers of [tex]\( x \): \( x^4 \), \( x \),[/tex] and constant terms.

Combine like terms:

[tex]\[ (-3.1a + 2 + 2.1 + 1.1 - 0.5 - 2)ax^4 \][/tex]

[tex]\[ = (-3.1a + 2 + 2.1 + 1.1 - 0.5 - 2)ax^4 \][/tex]

[tex]\[ = (-0.4a)ax^4 \][/tex]

Now, let's analyze the combined term [tex]\( (-0.4a)ax^4 \)[/tex].

The highest power of ( x ) in this term is 4. So, the degree of the polynomial is 4.

Therefore, the degree of the polynomial is 4.


Related Questions

which of these numbers is composite? 3,5,19,71,85

Answers

Answer:

85

Step-by-step explanation:


Answer:85 would be the correct Answer


Can I have Brainliest?


Step-by-step explanation:


Myron is cooking meat. The double number line shows that he needs 1 2 12 hours to cook 5 5 kilograms of meat. 0 0 5 5 Meat Meat (kg) (kg) 0 0 1 2 12 Time Time (hours) (hours) Based on the ratio shown in the double number line, how long does Myron need to cook 3 3 kilograms of meat?

Answers

Answer: 7 hours 12 minutes

Step-by-step explanation:

Let he needs x hours to make 1 kg of meat.

Therefore, time taken in making 5 kg of meat = 5 × x = 5x hours.

But, According to the question,

He needs 12 hour to cook 5 kg of meat.

Thus, 5 x = 12

⇒ [tex]x = \frac{12}{5}[/tex] ( By dividing both sides by 5 )

He needs [tex] \frac{12}{5}[/tex] hours to make 1 kg of meat.

⇒ The time taken to cook 3 kg of meat = [tex]3\times \frac{12}{5}=\frac{36}{5} [/tex]

= [tex]7\frac{1}{5}[/tex]  hours ⇒ 7 hours 12 minutes

Hence, He needs 7 hours 12 minutes time to cook 3 kg of meat.

After calculating, we determined that Myron needs 54 minutes to cook 3 kilograms of meat.

This problem can be solved by setting up a proportion since it involves a direct ratio between the weight of meat and the cooking time.

The given ratio is 1 1⁄2 hours for 5 kilograms of meat (1:5 ratio). To find the time needed for 3 kilograms of meat, use the proportion:

    5 kg      :-      1 1⁄2 hours
    3 kg      :-       x hours

Solving for x yields the following:

    5 kg  /  3 kg  =  1 1⁄2 hours  /  x hours
             x  =  (1 1⁄2 hours × 3 kg)  /  5 kg

Converting 1 1⁄2 hours to minutes (90 minutes) and then performing the multiplication and division:

             x  =  (90 minutes × 3)  /  5
             x  =  270 minutes  /  5
             x  =  54 minutes

Thus, Myron needs to cook 3 kilograms of meat for 54 minutes.

x+y=10 and 2x+4y=30
What are the steps to solve this equation?

Answers

Answer:

x=5 and y=5

Step-by-step explanation:

You "plug" one equation into the other, to get a new equation that only has one variable (x or y), then you can simplify that and have your answer.

So let's plug the first into the second:

First, we convert the first equation into an x=... form. For this one, this means moving the +y to the other side:

x = 10 - y

Now we substitute 10-y for x in the second equation:

So 2x+4y=30 becomes:

2(10-y) + 4y = 30

And simplify that:

20 - 2y + 4y = 30

20 + 2y = 30

2y = 30-20

2y = 10

y = 5

This is the first answer! If we put this into the first equation, we get:

x = 10 - 5 = 5

Now we have both answers, x=5 and y=5

the graph of a line has a slope of -2/3 and a y intercept of (0,2). rewrite the equation in standard for (Ax+By=C) with a positive term. A,B, and C must all be intergers. what is the answer?

Answers

Answer:

2x + 3y = 6

Step-by-step explanation:

obtain the equation in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

here m = - [tex]\frac{2}{3}[/tex] and c = 2

y = - [tex]\frac{2}{3}[/tex] x + 2 ← in slope-intercept form

multiply all terms by 3 to eliminate the fraction

3y = - 2x + 6 ( add 2x to both sides )

2x + 3y = 6 ← in standard form



Solve the inequality.

4d + 7 ≤ 23

Answers

Answer:

d ≤ 4

Step-by-step explanation:

4d + 7 ≤ 23

Subtract 7 from both sides:-

4d ≤ 16

d ≤ 4


[tex]Solution, 4d+7\le \:23\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:d\le \:4\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:4]\end{bmatrix}[/tex]

[tex]Steps:[/tex]

[tex]4d+7\le \:23[/tex]

[tex]\mathrm{Subtract\:}7\mathrm{\:from\:both\:sides},\\4d+7-7\le \:23-7[/tex]

[tex]\mathrm{Simplify},\\4d\le \:16[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}4,\\\frac{4d}{4}\le \frac{16}{4}[/tex]

[tex]\mathrm{Simplify},\\d\le \:4[/tex]

[tex]\mathrm{The\:Correct\:Answer\:is\:d\le \:4}[/tex]

[tex]\mathrm{Hope\:This\:Helps!!!}[/tex]

[tex]-Austint1414[/tex]

5(-6)plus (-7)

Please help

Answers

Answer:

-37

Step-by-step explanation:

Well for the multiplication its easy because if it is different signs then all you have to do is multiply it normally the add the negatuve sign.

6×5=30

-6×5=-30

2. For adding negative number to a negative number you just add it on.


Answer:

-37

Step-by-step explanation:

Remember to follow PEMDAS and the left -> right rule.

PEMDAS:

Parenthesis

Exponent (& roots)

Multiplication

Division

Addition

Subtraction

----------------

Also, note the rules of sign:

Multiplying...

Positive number and another positive number will result in a positive answer.

Positive number and a negative number will result in a negative answer.

Negative number and another negative number will result in a positive answer.

--------------------------------------------------------------------------------------------------------

Note the question:

5 x -6 + (-7)

First, change the sign for -6 + -7. Note the rule above and change the sign.

5 x -6 - 7

Next, solve. Remember to follow PEMDAS. Multiply 5 and -6 together

5 x -6 = -30

Then, combine the remaining terms.

-30 - 7 = -37

You're answer:

-37

--------------------------------------------------------------------------------------------------------

~

which describes the angle measures of an equilateral triangle?

A) 30*,30*,30*
B) 60*,60*,60*
C) 90*,90*,90*

Answers

Answer:

B

Step-by-step explanation:

All sides have to be equal and add up to be 180 degrees therefore the answer would be 60 because 60 plus 60 plus 60 is 180.

Answer:

B

B is the only answer that adds to 180, the interior angle measures of a triangle.

The coordinates of point b

Answers

Answer:

(3, -1)  PLEASE GIVE BRAINLIEST

Step-by-step explanation:


3, -1




Give brainliest to the other person, they’re asking for it :)

how do you do this problem???????????????/

Answers

Answer:

Price in Japan= 17.81

Price in Switzerland = 13.58

Step-by-step explanation:

First set up system of equations

80.59 = 3j +2s

76.36 = 2j + 3s

Make it to where you can eliminate one variable

161.18 = 6j +4 s

-229.08 = -6j - 9s

Reset the problem

-67.9 = -5s

s=13.58

Re plug them in to the original equation to get j = 17.81

Final answer:

By solving a system of linear equations formed from the given information, we found the average cost of a movie ticket in Japan to be $24.60, and in Switzerland to be $6.79.

Explanation:

Let's denote J as the cost of a movie ticket in Japan and S as the cost of a movie ticket in Switzerland. From the problem, we establish two equations: 3J + 2S = $80.59 and 2J + 3S = $76.36. This is a system of linear equations that can be solved by substitution or elimination. If you choose elimination, add these two equations together, which results in 5J + 5S = $156.95, or J + S = $31.39. Now, substitute (J + S) in first equation, we get 3J + 2(31.39 - J) = 80.59. Solving this equation we find J = $24.60. Thus, the price of a movie ticket in Switzerland is S = $31.39 - $24.60 = $6.79. Therefore, a movie ticket in Japan costs $24.60 on average, and in Switzerland, it costs $6.79.

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The complete question is here:

Average movie prices in the United States are, in general, lower than in other countries. It would cost $80.59 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost $76.36. How much does an average movie ticket cost in each of these countries?

In Japan the average cost is __.

In Switzerland the average cost is _____.

The area of a rectangular mirror is 15 15/16 square feet. The width of the mirror is 3 3/4 feet. If there is a 5 foot tall space on the wall to hang the mirror, will it fit? Explain. _________ fit because the height is ______ feet.

Answers

Answer: The mirror will fit because the height of the mirror is 4 feet.


Step-by-step explanation:

we just divide 15 by 3 3/4 and get the answer of 4.

Final answer:

Yes, the mirror will fit on the wall because its height is approximately 4.25 feet, which is less than the 5-foot tall space on the wall.

Explanation:

To determine whether the mirror will fit, we need to calculate its height. Since the area of a rectangle is given by the formula Area = Height × Width, we can find the height by rearranging the formula to Height = Area ÷ Width.

The given area of the mirror is 15 15/16 square feet and the given width is 3 3/4 feet.

After performing the division, we get the height of the mirror to be approximately 4.25 feet.

Since the space on the wall is 5 foot tall and the height of the mirror is less than this, the mirror will fit on the wall. So, the answer is: Yes, it will fit because the height is 4.25 feet.

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The shallowest section of an underground tunnel is -50 feet. The deepest section of the tunnel is -135 feet. How many feet below the shallowest section is the deepest section

A. -95 feet

B. - 185 feet

C. 85 feet

D. 195 feet

Answers

Answer:

The answer would be c)85 FEET

Step-by-step explanation:You start with the deepest section(-135) and add the shallowest point(50). the result is an 85 foot difference.


Answer:  c 85ft

Step-by-step explanation:

this property says you can rewrite 3 x (4+5) as (3x4) +(3 x 5).

Answers

Answer:

distributive property

Step-by-step explanation:

Distributive property says that x(y + z) = (x*y) + (x *z)

The property used in the given expression is

Distributive property of multiplication over addition.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The distributive property of multiplication over addition states that,

a(b + c) = a x b + a x c

Now,

3(4 + 5) = (3 x 4) + (3 x 5)

This is the Distributive property of multiplication over addition.

Thus,

The property of distributive multiplication over addition is used.

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Write a numerical or variable expression for the quantity: the number of seconds in m minutes

Answers

Final answer:

To find the number of seconds in m minutes, you can multiply m by 60. The numerical expression is 60m and the variable expression is 'm * 60.'

Explanation:

To write a numerical or variable expression for the quantity 'the number of seconds in m minutes,' we need to know the conversion rate between minutes and seconds. There are 60 seconds in 1 minute. So, to find the number of seconds in m minutes, we can multiply m by 60.

The numerical expression would be 60m.

The variable expression would be 'm * 60.'

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Helpppppppoo qucikkk

Answers

Answer:

x² - 2x - 3

Step-by-step explanation:

P(x) - Q(x)

= x² - x - 6 - (x - 3) ← distribute

= x² - x - 6 - x + 3 ( collect like terms )

= x² - 2x - 3


what the answer to
-2v+8 (1+2v)=-90

Answers

Answer:

v=2-2root7, v=2+2root7  

Step-by-step explanation:

-2v+8(1+2v)=-90

-2-4v^2+8+16v=-90

6-4v^2+16v=-90

-4v^2+16v=-96

v=2-2root7, v=2+2root7

Answer

-2v+8 (1+2v)=-90 then V = -7

Step-by-step explanation:

-2v + 8 x (1 + 2v) = -90

-2v + 8 + 16v = -90

14v + 8 = -90

14v = -98  

V = -98/14

V= -7

Hope this helps ;)

Please need help on this

Answers

Answer:

A: 20 km/hr B: 10 km/hr

Step-by-step explanation:


what is the approximate surface area of the cylinder 3mm 16mm (use 3.14 for π)
A. 301.44mm^2
B. 357. 96mm^2
C. 339.12mm^2
D. 370.52mm^2

Answers

The formula of a Surface Area of a cylinder:

[tex]S.A.=2\pi r^2+2\pi rH[/tex]

r - radius

H - heihgt

We have r = 3mm and H = 16mm. Substitute:

[tex]S.A.=2\pi(3)^2+2\pi(3)(16)=2\pi(9)+2\pi(48)=18\pi+96\pi=114\pi\ mm^2\\\\\pi\approx3.14\to S.A.\approx114\cdot3.14=357.96\ mm^2[/tex]

Answer: B. 357.96 mm^2

If (a, -8) is a solution to the equation -a = 4b - 7 what is a?

Answers

a { 4(-8)-7

a= 32-7

a = 39



so that is your answer

The value of 'a' when (a, -8) is a solution to the equation -a = 4b - 7 is '39'.

If we have the point (a, -8) as a solution to the equation -a = 4b - 7, and we're given the value of b from the point, which is -8, we can substitute this value into the equation to find 'a'.

Substituting b = -8 into the equation gives us:

-a = 4(-8) - 7

-a = -32 - 7

-a = -39

Now, we can solve for 'a' by multiplying both sides by -1 to get:

a = 39

Therefore, the value of 'a' is 39.

Write the following equation in the general form Ax + By + c = 0. 1/2 y- 1/3 x-1=0

Answers

Answer:

2x- 3y = - 6

Step-by-step explanation:

given [tex]\frac{1}{2}[/tex] y - [tex]\frac{1}{3}[/tex] x - 1 = 0

multiply all terms by 6 to eliminate the fractions

3y - 2x - 6 = 0 ( multiply all terms by - 1 )

- 3y + 2x + 6 = 0 ( subtract 6 from both sides )

2x - 3y = - 6 ← in standard form



Which of the following is a solution to the inequality 7-1/5x>0?

Answers

[tex]7-\dfrac{1}{5}x>0\qquad\text{subtract 7 from both sides}\\\\-\dfrac{1}{5}x>-7\qquad\text{change the signs}\\\\\dfrac{1}{5}x<7\qquad\text{multiply both sides by 5}\\\\\boxed{x<35}[/tex]

what is the value of x
enter your answer in the box

Answers

Answer:

x = 19

Step-by-step explanation:

3x - 3 = 6(x - 10)

3x - 3 = 6x - 60

    +3         +3

3x = 6x - 57

     - 6x

- 3x = -57

= 19

Answer:

x = 19

Step-by-step explanation:

[tex](3x-3)^{0} =\left[6(x-10)] ^{0}\\[/tex] (opposite angle)

[tex]3x-3=6(x-10)\\ 3x-3=6x-60\\ 60-3=6x-3x\\ 57=3x\\ \frac{57}{3} =x\\ 19=x[/tex]

which of the following have the same y-intercept as the eqaution y=2x+3

Answers

Considering it's concept, any function with f(0) = 3 was the same y-intercept as y = 2x + 3.

What is the y-intercept of a function f(x)?

The y-intercept is f(0), that is, the value of y when x = 0, which is interpreted as the initial value of the function.

In this problem, the function is given by:

y = 2x + 3.

The y-intercept is given by:

y = 2(0) + 3 = 3.

Hence, any function with f(0) = 3 was the same y-intercept as y = 2x + 3.

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An electrician has $120 to spend on interior light fixtures. the wholesale price for 13-watt low-energy lamp is $4. The price for a high-energy lamp is $5. write an expression for how much the electrician spends for A units of the low-energy lamp and B units of the high-energy lamp.

complete the table for the electrician's purchase. assume that all of the $120 is spent

Answers

Final answer:

To find the expression for the cost of low-energy lamps and high-energy lamps, use the expressions 4A and 5B respectively. To find the values of A and B that make the total cost equal $120, solve the equation 4A + 5B = 120.

Explanation:

To write an expression for how much the electrician spends on low-energy lamps and high-energy lamps, we can use the following expressions:

Cost of low-energy lamps: 4A

Cost of high-energy lamps: 5B

To complete the table, we need to calculate the values of A and B such that the total cost equals $120. Since all of the $120 is spent, the expression for the total cost would be:

Total cost: 4A + 5B = 120

We can solve this equation to find the values of A and B.

In parallelogram ABCD , diagonals AC⎯⎯⎯⎯⎯ and BD⎯⎯⎯⎯⎯ intersect at point E, BE=x2−21 , and DE=4x .

What is BD ?


__units

Answers

Answer:

BD= 56units

Step-by-step explanation:

  Since, Diagnols of a parallelogram  bisect each other.

Therefore in parallelogram ABCD where AC and BD are the diagnols wich intersect at Point E, we have, BE=DE

Therefore, x^2-21=4x

x^2-21-4x=0

x^2-4x-21=0

x^2-7x-3x-21=0      [middle term splitting]

x(x-7)+3(x-7)=0

(x+3)(x-7)=0

Hence, x= -3 and x= 7

Since x cannot be negative because no side can have negative values

Therefore, we have x=7

Now, BD= BE+DE      [Since E is the intersecting point of BD]

            = 4x+x^2-21

            = 4(7)+7^2-21

            =28+49-21= 56 units

HELP PLEASE whats the rate of change

Answers

ROC is often used when speaking about momentum, and it can generally be expressed as a ratio between a change in one variable relative to a corresponding change in another; graphically, the rate of change is represented by the slope of a line.

12 is what percent of 50

Answers

Answer:24%


Step-by-step explanation:

Step 1: We make the assumption that 50 is 100% since it is our output value.

Step 2: We next represent the value we seek with x

Step 3: From step 1, it follows that 100\%=50.

Step 4: In the same vein, x\%=12.

Step 5: This gives us a pair of simple equations:


hope this helps

There are some rabbits and some hutches. If eight rabbits are put in each hutch, one rabbit is left over. If eleven rabbits are put in each hutch, one hutch is left empty. How many rabbit hutches are there, and how many rabbits are there?

Answers

Answer:

there's 33 rabbits and 4 hutches

Step-by-step explanation:

8 x 4 = 32 plus the one left over

11 x 3 = 33 with and extra hutch


Answer:

33 rabbits and four hutches

Step-by-step explanation:

;)brainliest?

41.073 round each number to the place of the underlined digit. The underline number is 0

Answers

Answer:

41.1

Step-by-step explanation:

The number will be cut off after the digit you are rounding off to.

Rewrite the number, but stop at the 0.

41.0

Now you need to decide if the 0 stays as 0 or if it goes up to 1.

When the next digit is from 5 to 9, the last digit you keep goes up 1. When the next digit is 0 through 4, the last digit you keep stays as it was.

Since the first digit that was dropped is a 7, the 0 goes up one unit to 1.

Answer: 41.1


Answer:

41.1

Step-by-step explanation:

If we are rounding at the 0, we have to look at the next digit, which is 7.  

Since 7>=5, we will round up.  Zero becomes a 1

41.073  becomes 41.1

The frame is being enlarged to hang on a gallery wall. Using the scale factor of 1 in = 3 ft, give the new dimensions of the outside edges of the frame. New Dimensions: 5in. = ___________ 7in=___________

Answers

Answer:

Part A) [tex]5\ in=15\ ft[/tex]

Part B) [tex]7\ in=21\ ft[/tex]

Step-by-step explanation:

we know that

The scale factor is [tex]\frac{1}{3}\frac{in}{ft}[/tex]

so

using proportion

Part A)

[tex]\frac{1}{3}\frac{in}{ft}=\frac{5}{x}\frac{in}{ft}\\ \\x=5*3\\ \\x=15\ ft[/tex]

therefore

[tex]5\ in=15\ ft[/tex]

Part B)

[tex]\frac{1}{3}\frac{in}{ft}=\frac{7}{x}\frac{in}{ft}\\ \\x=7*3\\ \\x=21\ ft[/tex]

therefore

[tex]7\ in=21\ ft[/tex]

Find the length of side x in simplest radical form with a rational denominator

Answers

It's the triangle 30° - 60° - 90°.

The sides are in proportion 1 : √3 : 2 (look at the picture).

Therefore we have:

[tex]x=\dfrac{\sqrt6\cdot\sqrt3}{2}=\dfrac{\sqrt{(6)(3)}}{2}=\dfrac{\sqrt{18}}{2}=\dfrac{\sqrt{(9)(2)}}{2}\\\\=\dfrac{\sqrt9\cdot\sqrt2}{2}=\boxed{\dfrac{3\sqrt2}{2}}[/tex]

Answer:

ok

Step-by-step explanation:

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